{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:MDKZTIXYHAS3KKUVXHIDWCWMZQ","short_pith_number":"pith:MDKZTIXY","canonical_record":{"source":{"id":"1703.03451","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2017-03-09T20:12:45Z","cross_cats_sorted":["math.MP","math.SP","quant-ph"],"title_canon_sha256":"3604c007b238747474c7e3379ee26f991d0e0cecb963f97c027015d7f3b2a23a","abstract_canon_sha256":"48398728e71e42b721ac7dafc3cb3ca7609898125718be44f9a85eb9e58dad0b"},"schema_version":"1.0"},"canonical_sha256":"60d599a2f83825b52a95b9d03b0acccc168a264bf96ab84a1f135347d99f4db3","source":{"kind":"arxiv","id":"1703.03451","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1703.03451","created_at":"2026-05-18T00:26:00Z"},{"alias_kind":"arxiv_version","alias_value":"1703.03451v1","created_at":"2026-05-18T00:26:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1703.03451","created_at":"2026-05-18T00:26:00Z"},{"alias_kind":"pith_short_12","alias_value":"MDKZTIXYHAS3","created_at":"2026-05-18T12:31:31Z"},{"alias_kind":"pith_short_16","alias_value":"MDKZTIXYHAS3KKUV","created_at":"2026-05-18T12:31:31Z"},{"alias_kind":"pith_short_8","alias_value":"MDKZTIXY","created_at":"2026-05-18T12:31:31Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:MDKZTIXYHAS3KKUVXHIDWCWMZQ","target":"record","payload":{"canonical_record":{"source":{"id":"1703.03451","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2017-03-09T20:12:45Z","cross_cats_sorted":["math.MP","math.SP","quant-ph"],"title_canon_sha256":"3604c007b238747474c7e3379ee26f991d0e0cecb963f97c027015d7f3b2a23a","abstract_canon_sha256":"48398728e71e42b721ac7dafc3cb3ca7609898125718be44f9a85eb9e58dad0b"},"schema_version":"1.0"},"canonical_sha256":"60d599a2f83825b52a95b9d03b0acccc168a264bf96ab84a1f135347d99f4db3","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:26:00.809819Z","signature_b64":"mjJ/WqSUXzHcR6X+xwNE0gaQXVe1f4wFxqY4yIrElJj54UT/jC9xcSAHtop5e+P6sp6h/gAWz2Qrdvs68JuDBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"60d599a2f83825b52a95b9d03b0acccc168a264bf96ab84a1f135347d99f4db3","last_reissued_at":"2026-05-18T00:26:00.809129Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:26:00.809129Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1703.03451","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:26:00Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"hOgHAVYXSuGo8+9urULpfym+Mobsh+wOn03pL/CXWdW7sj/0cmlVcnkfsqR1GA8rVQJ5gKfiC8/w8EByc6vBDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T09:37:47.169025Z"},"content_sha256":"c0172bd9cf940ca2f97725106f246061efdbac9321edd7efc6f31de21cf33003","schema_version":"1.0","event_id":"sha256:c0172bd9cf940ca2f97725106f246061efdbac9321edd7efc6f31de21cf33003"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:MDKZTIXYHAS3KKUVXHIDWCWMZQ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Regularizing Feynman path integrals using the generalized Kontsevich-Vishik trace","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MP","math.SP","quant-ph"],"primary_cat":"math-ph","authors_text":"Tobias Hartung","submitted_at":"2017-03-09T20:12:45Z","abstract_excerpt":"A fully regulated definition of Feynman's path integral is presented here. The proposed re-formulation of the path integral coincides with the familiar formulation whenever the path integral is well-defined. In particular, it is consistent with respect to lattice formulations and Wick rotations, i.e., it can be used in Euclidean and Minkowskian space-time. The path integral regularization is introduced through the generalized Kontsevich-Vishik trace, that is, the extension of the classical trace to Fourier Integral Operators. Physically, we are replacing the time-evolution semi-group by a holo"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1703.03451","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:26:00Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Xxm33pARqntd17P5BUGnY/8SzTqsCz0FLzdF0SufOXkRZ8jZwEsccSE9cG4f2I37kCmJK0n9Eow5jsUO/SPPDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T09:37:47.169397Z"},"content_sha256":"79fc256f6c55346791e2e72af692f13078dc3d61508f6ea1c51ac87d3db4e31c","schema_version":"1.0","event_id":"sha256:79fc256f6c55346791e2e72af692f13078dc3d61508f6ea1c51ac87d3db4e31c"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/MDKZTIXYHAS3KKUVXHIDWCWMZQ/bundle.json","state_url":"https://pith.science/pith/MDKZTIXYHAS3KKUVXHIDWCWMZQ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/MDKZTIXYHAS3KKUVXHIDWCWMZQ/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-05T09:37:47Z","links":{"resolver":"https://pith.science/pith/MDKZTIXYHAS3KKUVXHIDWCWMZQ","bundle":"https://pith.science/pith/MDKZTIXYHAS3KKUVXHIDWCWMZQ/bundle.json","state":"https://pith.science/pith/MDKZTIXYHAS3KKUVXHIDWCWMZQ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/MDKZTIXYHAS3KKUVXHIDWCWMZQ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:MDKZTIXYHAS3KKUVXHIDWCWMZQ","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"48398728e71e42b721ac7dafc3cb3ca7609898125718be44f9a85eb9e58dad0b","cross_cats_sorted":["math.MP","math.SP","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2017-03-09T20:12:45Z","title_canon_sha256":"3604c007b238747474c7e3379ee26f991d0e0cecb963f97c027015d7f3b2a23a"},"schema_version":"1.0","source":{"id":"1703.03451","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1703.03451","created_at":"2026-05-18T00:26:00Z"},{"alias_kind":"arxiv_version","alias_value":"1703.03451v1","created_at":"2026-05-18T00:26:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1703.03451","created_at":"2026-05-18T00:26:00Z"},{"alias_kind":"pith_short_12","alias_value":"MDKZTIXYHAS3","created_at":"2026-05-18T12:31:31Z"},{"alias_kind":"pith_short_16","alias_value":"MDKZTIXYHAS3KKUV","created_at":"2026-05-18T12:31:31Z"},{"alias_kind":"pith_short_8","alias_value":"MDKZTIXY","created_at":"2026-05-18T12:31:31Z"}],"graph_snapshots":[{"event_id":"sha256:79fc256f6c55346791e2e72af692f13078dc3d61508f6ea1c51ac87d3db4e31c","target":"graph","created_at":"2026-05-18T00:26:00Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"A fully regulated definition of Feynman's path integral is presented here. The proposed re-formulation of the path integral coincides with the familiar formulation whenever the path integral is well-defined. In particular, it is consistent with respect to lattice formulations and Wick rotations, i.e., it can be used in Euclidean and Minkowskian space-time. The path integral regularization is introduced through the generalized Kontsevich-Vishik trace, that is, the extension of the classical trace to Fourier Integral Operators. Physically, we are replacing the time-evolution semi-group by a holo","authors_text":"Tobias Hartung","cross_cats":["math.MP","math.SP","quant-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2017-03-09T20:12:45Z","title":"Regularizing Feynman path integrals using the generalized Kontsevich-Vishik trace"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1703.03451","kind":"arxiv","version":1},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:c0172bd9cf940ca2f97725106f246061efdbac9321edd7efc6f31de21cf33003","target":"record","created_at":"2026-05-18T00:26:00Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"48398728e71e42b721ac7dafc3cb3ca7609898125718be44f9a85eb9e58dad0b","cross_cats_sorted":["math.MP","math.SP","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2017-03-09T20:12:45Z","title_canon_sha256":"3604c007b238747474c7e3379ee26f991d0e0cecb963f97c027015d7f3b2a23a"},"schema_version":"1.0","source":{"id":"1703.03451","kind":"arxiv","version":1}},"canonical_sha256":"60d599a2f83825b52a95b9d03b0acccc168a264bf96ab84a1f135347d99f4db3","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"60d599a2f83825b52a95b9d03b0acccc168a264bf96ab84a1f135347d99f4db3","first_computed_at":"2026-05-18T00:26:00.809129Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:26:00.809129Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"mjJ/WqSUXzHcR6X+xwNE0gaQXVe1f4wFxqY4yIrElJj54UT/jC9xcSAHtop5e+P6sp6h/gAWz2Qrdvs68JuDBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:26:00.809819Z","signed_message":"canonical_sha256_bytes"},"source_id":"1703.03451","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c0172bd9cf940ca2f97725106f246061efdbac9321edd7efc6f31de21cf33003","sha256:79fc256f6c55346791e2e72af692f13078dc3d61508f6ea1c51ac87d3db4e31c"],"state_sha256":"f00f64045f98e9e5352001e0600afb59408a041049ac5f305ec0f0c9486f9eb6"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"7s0g8jIGwJjOW+KGue4tYzQDV7gZQ82ZDKMFe1f547pZkaSrVsCk8XW6JbMoOY7WnejX2XWS6Q8ksl//2CFEDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-05T09:37:47.171714Z","bundle_sha256":"400d545187571bba7c39739344bf397ddc63e0885dc0bae15da8d897d3b4c133"}}